Eigenvalue analysis of temperature distribution in composite walls

Eigenvalue analysis of temperature distribution in composite walls
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DOI:
10.1002/er.747
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发表时间:
2001-10
影响因子:
4.6
通讯作者:
G. Oturanç;A. Sahin
G. Oturanç;A. Sahin
中科院分区:
工程技术3区
文献类型:
--
作者:
G. Oturanç;A. Sahin

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采用谱分析法对双层复合墙体的瞬态热传导问题进行了解析求解。利用Rouche定理分析了复合墙体温度分布谱问题的特征值和相应的特征函数。得到了特征值的个数,并用计算特征值的公式给出了这一复杂问题的温度分布。得到的解析解是在显式形式,并提供了很容易确定的温度上升,在加热和解冻应用的复合材料。版权所有© 2001约翰威利父子有限公司。
The transient heat conduction problem in two‐layer composite wall is solved analytically using spectral analysis. Eigenvalues and corresponding eigenfunctions of the spectral problem for the temperature distribution in composite walls are analysed using the Rouche Theorem. The number of eigenvalues is obtained and the temperature distribution of this complicated problem is given by a formula with calculated eigenvalues. The analytical solution obtained is in explicit form and provides easy determination of temperature rise in heating and thawing applications of composite materials. Copyright © 2001 John Wiley & Sons, Ltd.